If X and Y are independent random variables with P_x(0) = 5, P_x(1) = 3, P_x(2)

Question

If X and Y are independent random variables with P_x(0) = 5, P_x(1) = 3, P_x(2) = 2 and P_y(0) = 1, P_y(1) = 1, P_y(2) = 25, and P_y(3) = 05. Then P(X lessthanorequalto 1 and Y lessthanorequalto 1) 30 56 70 80 If rho is the correlation coefficient between two variables X and Y, then which of the following statements are correct? A value of rho less than 1 in absolute value indicates only that the relationship is not completely linear, but there may still be a very strong nonlinear relationship rho = 0 does not imply that X and Y are independent, but there is complete absence of a linear relationship. When rho =0, X and Y are said to be uncorrelated. The variables X and Y could be uncorrelated yet highly dependent because there is a strong nonlinear relationship. All of the above are correct statements The sampling distribution of X bar appears below: Then, the expected value of X bar: E(X bar) is

Explanation / Answer

option e is the correct answer

we can say all the statements are correct by observing Examples of scatter diagrams with different values of pearsons correlation coefficient.

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